Question 1

Find the probability of getting 2 Heads when two fair coins are tossed?&#10;A)1&#10;B)2/3&#10;C)&#189;&#10;D)&#188;&#10;E)&#190;

Accepted Answer

A coin has two faces Head(H) and Tale(T). The possible outcome when two coins are tossed is HH, TT, HT and TH. Out of 4 possible outcomes only 1 is favourable for getting both Heads. Probability is the ratio of favorable events for success and total possible events. Hence Probability P = 1/4
Key takeaway: Probability is the chance of the occurrence of an event . It is the ratio of favourable events for success and total possible events. It is an important mathematical concept that we use in our day-to-day life. Practice some simple problems to understand the concept.

Question 2

A box contains tickets numbered 01 to 100. What is the probability that a ticket selected at random will have number with a tenth digit of 5?&#10;A)1/5&#10;B)9/10&#10;C)1/10&#10;D)&#189;

Accepted Answer

The tenth digit of 5 is 05, 15, 25 ....., and 95. i.e. 10 possible numbers out of 100 numbers.
Probability P = favourable events for success / total possible events = 10/100 = 1/10.
Key takeaway: Probability is the chance of the occurrence of an event. It is the ratio of favourable events for success and total possible events.

Question 3

A card is picked up at random from a pack of 52 cards. Find the probability that it is a king or queen.&#10;A)2/13&#10;B)3/13&#10;C)7/52&#10;D)1/13

Accepted Answer

In a pack of 52 cards, there are 8 cards which is either king or queen. A card is picked up at random from a pack of 52 cards. The probability that it is a king or queen = 8/52 = 2/13
Key takeaway: Probability means the chance of occurrence of an event. It is an important mathematical concept that we use in our day-to-day life. Practice some simple problems to understand the concept.

Question 4

In a jar of candy there are 127 red candies, 92 orange ones, 108 yellow ones, 77 green ones, and 13 blue candies. If a person reaches into the jar without looking and grabs one piece of candy, what is the probability of that piece being red?

A)25%
B)35%
C)20%
D)30%

Accepted Answer

A person reaching into the candy jar would have a 30% chance of pulling out a piece of red candy. There are 417 pieces of candy in the jar altogether, which means the person has 127 chances in 417 to pull out a piece of red candy (or 127/417 if the candy is red). To convert that to a percentage, divide the number of chances to get a red candy (127) by the total number of pieces (417), then multiply the quotient by 100.

Question 5

A certain company keeps a list of 50 employees and their annual salaries. When the salary of the very highly paid president is added to this list, which of the following statistics is most likely to be approximately the same or nearly the same for the original list and the new list?

A)The highest salary
B)The range
C)The mean
D)The median
E)The standard deviation

Accepted Answer

The median

Question 6

A certain company keeps a list of 50 employees and their annual salaries. When the salary of the very highly paid president is added to this list, which of the following statistics is most likely to be approximately the same or nearly the same for the original list and the new list?

A)The highest salary
B)The range
C)The mean
D)The median
E)The standard deviation

Accepted Answer

The median

Question 7

A box of candy contains 11 pieces of gummy candy, 13 pieces of gum, 8 truffles, and 9 mints. Sue randomly grabs a piece of gum from the bag. What is the probability that the next piece of candy taken will be a piece of gum or a piece of gummy candy?

A)1/2
B)12/21
C)50/50
D)23/40

Accepted Answer

The probability that the next piece of candy taken will be a piece of gum or a piece of gummy candy is 23/40. To find the probability, you must add 12 pieces of gum (13 pieces of gum minus the 1 that she already took) to 11 pieces of gummy candy to get 23. To get 40, you add all pieces of candy minus the 1 that she already took.

Deck 39: (AP) Statistics: Math